Error bounds and parameter choice strategies for simplified regularization in Hilbert scales
type: Item
instance of: scholarly article
title: Error bounds and parameter choice strategies for simplified regularization in Hilbert scales
zbMATH Open document ID: 0889.65062
DOI: 10.1007/BF01191432
author: Santhosh George
author: M. Thamban Nair
published in: Integral Equations and Operator Theory
publication date: 1998-06-02T00:00:00Z
review text: Simplified regularization in the setting of Hilbert scales has been considered for obtaining stable approximate solutions for ill-posed linear operator equations. In order to choose the regularization parameter the authors propose parameter choice strategies which are a priori and a posteriori. It is shown that these strategies lead to optimal error estimates in the sence of ``best possible worst error''.
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47A50
zbMATH DE Number: 1113521
zbMATH Keywords: ill-posed operator equations
zbMATH Keywords: linear operator
zbMATH Keywords: Hilbert scales
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: error bounds
zbMATH Keywords: parameter choice strategies
reviewed by: Karel Najzar
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01191432
OpenAlex ID: W2056722221
description: scientific article; zbMATH DE number 1113521